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The simple answer is that PI is what falls out when you study circles. If I had a circle that is 1 foot in diameter, then the circumference (or perimeter) is PI feet. The numerical value of PI wasn't chosen at random, it was found. As for the area of a circle, the perimeter of any object has a relationship to its area. So, PI again becomes important.

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Q: Why is pie used to calculate properties of a circle?
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